11513
domain: N
Properties
Digital Properties
- Digit Count
- 5
- Digit Sum
- 11
- Digital Root
- 2
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 2
Divisibility
- Divisor Count
- 4
- Divisor Sum
- 11940
- Proper Divisor Sum (Aliquot Sum)
- 427
- Abundant Number
- no
- Perfect Number
- no
- Deficient Number
- yes
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 11088
- Möbius Function
- 1
- Radical
- 11513
- Omega Function (Ω)
- 2
- Little Omega Function (ω)
- 2
Special
- Factorial
- no
- Catalan Number
- no
- Bell Number
- no
- Motzkin Number
- no
- Primorial
- no
Figurate Numbers
- Fibonacci Number
- no
- Triangular Number
- no
- Perfect Square
- no
- Perfect Cube
- no
- Pentagonal Number
- no
- Hexagonal Number
- no
- Lucas Number
- no
- Tetrahedral Number
- no
- Pell Number
- no
- Tribonacci Number
- no
- Pronic Number
- no
Recreational
- Happy Number
- no
- Harshad Number
- no
- Narcissistic Number
- no
- Collatz Steps
- 174
- Smith Number
- no
- Vampire Number
- no
Primality
- Prime
- no
- Composite Number
- yes
- Semiprime
- yes
- Squarefree Number
- yes
- Prime Power
- no
- Prime Factorization
- no
- Twin Prime
- no
- Mersenne Prime
- no
- Sophie Germain Prime
- no
- Safe Prime
- no
- Powerful Number
- no
- Achilles Number
- no
- Perfect Power
- no
- Smooth Number
- no
- Carmichael Number
- no
Classification
- Even
- no
- Odd
- yes
Appears in sequences
- Number of points of norm <= n in cubic lattice.at n=14A000605
- Floor(exp(19/23) * n!).at n=6A030810
- Closed 3-dimensional ball numbers (version 1): a(n)= number of integer points (i,j,k) contained in a closed ball of diameter n, centered at (0,0,0).at n=28A053591
- a(n) is the least odd number of the form p + k^2 with p prime and k > 0 which can be represented in exactly n different ways.at n=32A059400
- Numbers n such that prime(n) == n (mod phi(n)).at n=10A066687
- Positions of records for terms in the continued fraction of Catalan's constant.at n=10A099790
- Irregular triangle: p(k, x) = 2*x*p(k-1, x) + (1 - x^2)*p(k-2, x) for even k, p(k, x) = 2*(k-1)*p(k-1, x) - x*p(k-2, x) for odd k.at n=47A123242
- a(1) = 1; for n>1, a(n) = smallest number > a(n-1) such that the pairwise differences of elements are distinct, and for 1<m<n, a(m) does not divide a(n).at n=53A256062
- Numbers k such that (5 * 10^k - 119)/3 is prime.at n=26A271109
- Number of active (ON, black) cells at stage 2^n-1 of the two-dimensional cellular automaton defined by "Rule 525", based on the 5-celled von Neumann neighborhood.at n=6A272739
- Number of 2 X 2 matrices with all elements in {-n,..,0,..,n} with determinant = 2*permanent.at n=19A280343
- Triangle read by rows: T(n,k) = number of rooted signed trees with n nodes and k positive edges (0 <= k < n).at n=40A304489
- a(n) is the least number k such that exactly fraction 1/n of the members of the reduced residue system mod k are prime, or 0 if there is no such k.at n=6A307711
- Numbers whose multiset multisystem (A302242) is crossing.at n=24A324170
- Breadth-first reading of the subtree rooted at 7 of the tree where each parent node is the arithmetic derivative (A003415) of all its children.at n=28A327977
- Number of rooted trees with 2-colored non-root nodes with an n nodes of each color.at n=4A331114
- a(n) is the number of regions formed by n-secting the angles of an octagon.at n=28A335769
- G.f. A(x) = Sum_{n>=0} a(n)*x^n satisfies: [Sum_{n>=0} x^n/(1 - x^(n+1))]^3 = Sum_{n>=0} a(n)*x^n/(1 - x^(n+1))^3.at n=33A341374
- The maximal norm of an additively indecomposable element in Shanks' simplest cubic field Q[x]/(x^3 - n*x^2 - (n+3)*x - 1).at n=22A387575